Finding the Third Proportional to 175,739 and 272,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,739 : 272,347.50 = 272,347.50 : x
2. Step 2: Convert to fraction form
   175,739/272,347.50 = 272,347.50/x
3. Step 3: Cross multiply
   175,739x = 272,347.50 × 272,347.50
4. Step 4: Simplify right side
   175,739x = 74,173,160,756.25
5. Step 5: Solve for x
   x = 74,173,160,756.25/175,739
6. Step 6: Final answer
   x = 422,064.32